Solve 41/9-12/9

$$4 \frac { 1 } { 9 } - 1 \frac { 2 } { 9 }$$

Evaluate

$$\frac{26}{9}\approx 2.888888889$$

Solution Steps

Multiply 4 and 9 to get 36.

$$\frac{36+1}{9}-\frac{1\times 9+2}{9}$$

Add 36 and 1 to get 37.

$$\frac{37}{9}-\frac{1\times 9+2}{9}$$

Multiply 1 and 9 to get 9.

$$\frac{37}{9}-\frac{9+2}{9}$$

Add 9 and 2 to get 11.

$$\frac{37}{9}-\frac{11}{9}$$

Since \frac{37}{9} and \frac{11}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{37-11}{9}$$

Subtract 11 from 37 to get 26.

$$\frac{26}{9}$$

Factor

$$\frac{2 \cdot 13}{3 ^ {2}} = 2\frac{8}{9} = 2.888888888888889$$